Question

Помогите с уравнением

Answer 1

$\frac{x+5}{x-1}+\frac{2x-5}{x-7} -\frac{30-12x}{8x-x^{2}-7 }=0\\\\\frac{x+5}{x-1}+\frac{2x-5}{x-7}+\frac{30-12x}{x^{2}-8x+7 }=0\\\\\frac{x+5}{x-1}+\frac{2x-5}{x-7}+\frac{30-12x}{(x-1)(x-7)}=0\\\\\frac{x^{2}-7x+5x-35+2x^{2}-5x-2x+5+30-12x}{(x-1)(x-7)}=0\\\\\frac{3x^{2}-21x }{(x-1)(x-7)}=0\\\\3x^{2}-21x=0, x\neq 1, x \neq7 \\\\x^{2} -7x=0\\\\x(x-7)=0\\\\x_{1}=0\\\\x-7=0\\\\x_{2}=7$

x₂ = 7 - не подходит

Ответ : 0